Blow-up solutions of Helmholtz equation for a Kerr slab with a complex linear and nonlinear permittivity

DOI10.1063/1.5082639zbMath1414.78004arXiv1810.03531OpenAlexW2895434371MaRDI QIDQ5379404

Neslihan Oflaz, Ali Mostafazadeh, Varga K. Kalantarov

Publication date: 28 May 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03531

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Blow-up in context of PDEs (35B44)

Cites Work

• Bounds for solutions to a class of nonlinear second-order differential equations
• Blow-up theorems for nonlinear wave equations
• On solutions of nonlinear wave equations
• On the growth of solutions of quasi‐linear parabolic equations

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